The new techniques of amplitude compensated matched filtering using circular harmonic expansion and a Mellin transform are presented. These techniques yield much better discrimination and sharper autocorrelation peaks compared with the classical matched spatial filtering. Aside from these advantages, the amplitude compensated circular harmonic expansion matched filtering can also yield rotation invariance, and the amplitude compensated Mellin transform matched filtering can yield scale invariance. By computer simulation, we have verified the unique advantages of the new methods. We also provide 3-D graphs of autocorrelation and cross correlation.
© 1990 Optical Society of America
Original Manuscript: July 10, 1989
Published: November 10, 1990
Ying Sun, Zhao-Qi Wang, and Guo-Guang Mu, "Amplitude compensated matched filters using circular harmonic expansion and a Mellin transform," Appl. Opt. 29, 4779-4783 (1990)